However, smaller ships aren't going to do jack-diddly squat against a Carrier Strike Group in a neutral situation (ie: both sides meet in Antarctica). F-18s have an effective strike range of over 1000-miles.
Submarines might have some theoretical advantages, but the 110,000 ton Ford-class Carriers moves faster than pretty much every submarine on the planet, so Submarines literally cannot speed up fast enough to engage.
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Those smaller Chinese Ships are going to rely upon a lot of Air support + Cruise Missile support from the mainland if they ever wish to actually engage with a US Carrier Strike Group.
Staying within the protective cover of SAM (against air threats), Cruise Missiles (against the CSG themselves)... and providing a launch platform for various missiles, Chinese Destroyers probably can do a job in a hypothetical fight vs US Navy within the confines of the South China Sea.
But once they leave the protective cover of China's mainland... its all over. Swarms of F18s will just launch missiles at all the Destroyers, while the Carrier Strike Group sits back a thousand miles away.
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That's why the question isn't about those small Chinese ships (even though China is making a lot of them). The big question is about the performance of those Chinese Carriers. At 70,000 tons or so, they're much lighter than the 110,000 ton Ford-class carriers.